{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def load_data():\n",
    "    \"\"\"\n",
    "    加载数据\n",
    "    \"\"\"\n",
    "    with open('简单分类数据.txt') as fp:\n",
    "        lines = fp.readlines()\n",
    "\n",
    "    x = np.empty((len(lines), 2), dtype=float)\n",
    "    y = np.empty(len(lines), dtype=float)\n",
    "\n",
    "    for i in range(len(lines)):\n",
    "        line = lines[i].strip().split('\\t')\n",
    "        x[i] = line[:2]\n",
    "        y[i] = line[2]\n",
    "\n",
    "    return x, y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def draw(x, y, w, b):\n",
    "    \"\"\"\n",
    "    绘制图像\n",
    "    \"\"\"\n",
    "    X = np.arange(x[:, 0].min(), x[:, 0].max(), 1)\n",
    "    Y = np.empty([len(X)])\n",
    "    for i in range(len(X)):\n",
    "        Y[i] = (-w[0] * X[i] - b) / w[1]\n",
    "    plt.scatter(x[:, 0], x[:, 1], c=y)\n",
    "    plt.plot(X, Y)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "x, y = load_data()\n",
    "N, M = x.shape\n",
    "w = np.ones(2)\n",
    "b = 0.0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw(x, y, w, b)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.999999197434851"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def predict(x, w, b):\n",
    "    \"\"\"\n",
    "    预测方法\n",
    "    \"\"\"\n",
    "    z = w.dot(x) + b\n",
    "    return 1 / (1 + np.exp(-z))\n",
    "\n",
    "\n",
    "predict(x[0], w, b)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-540.4081260783354"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def get_loss(N, x, y, w, b):\n",
    "    \"\"\"\n",
    "    计算损失值\n",
    "    \"\"\"\n",
    "    loss = 0\n",
    "    for i in range(N):\n",
    "        if y[i] == 1:\n",
    "            # 当y是1时,predict(x[i])越大越好\n",
    "            loss += np.log(predict(x[i], w, b))\n",
    "        elif y[i] == -1:\n",
    "            # 当y是-1时,1-predict(x[i])越大越好\n",
    "            loss += np.log(1 - predict(x[i], w, b))\n",
    "    return loss\n",
    "\n",
    "\n",
    "get_loss(N, x, y, w, b)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([ -19.34439272, -510.07213195]), -33.286852351091056)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def gradient(N, x, y, w, b):\n",
    "    \"\"\"\n",
    "    求梯度\n",
    "    \"\"\"\n",
    "    upsilon = 1e-2  # 一个极小值,用于求导数\n",
    "    # 得到损失\n",
    "    l1 = get_loss(N, x, y, w, b)\n",
    "    w[0] += upsilon\n",
    "    l2 = get_loss(N, x, y, w, b)\n",
    "    w[0] -= upsilon\n",
    "    # loss(f(x + h)) - loss(f(x - h))\n",
    "    gradient_w0 = (l2 - l1) / upsilon\n",
    "\n",
    "    w[1] += upsilon\n",
    "    l2 = get_loss(N, x, y, w, b)\n",
    "    w[1] -= upsilon\n",
    "    # loss(f(x + h)) - loss(f(x - h))\n",
    "    gradient_w1 = (l2 - l1) / upsilon\n",
    "\n",
    "    b += upsilon\n",
    "    l2 = get_loss(N, x, y, w, b)\n",
    "    b -= upsilon\n",
    "    gradient_b = (l2 - l1) / upsilon\n",
    "    # 返回梯度\n",
    "    return np.array([gradient_w0, gradient_w1]), gradient_b\n",
    "\n",
    "gradient(N, x, y, w, b)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "第 1 次训练的 loss 为 -16.194977093337176\n",
      "第 11 次训练的 loss 为 -15.555428723949747\n",
      "第 21 次训练的 loss 为 -14.880415871206095\n",
      "第 31 次训练的 loss 为 -14.1348066285141\n",
      "第 41 次训练的 loss 为 -13.2610945249049\n",
      "第 51 次训练的 loss 为 -12.176841709569251\n",
      "第 61 次训练的 loss 为 -10.90732758162659\n",
      "第 71 次训练的 loss 为 -9.93295861863012\n",
      "第 81 次训练的 loss 为 -9.561208091581662\n",
      "第 91 次训练的 loss 为 -9.474096819874909\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 训练\n",
    "for i in range(100):\n",
    "    lr = 1e-2  # 学习率\n",
    "    # 得到梯度\n",
    "    g_w, g_b = gradient(N, x, y, w, b)\n",
    "    # 更新值\n",
    "    w += g_w * lr\n",
    "    b += g_b * lr\n",
    "    if i % 10 == 0:\n",
    "        print(f'第 {i+1} 次训练的 loss 为 {get_loss(N, x, y, w, b)}')\n",
    "\n",
    "draw(x, y, w, b)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3.8.13 ('d2l')",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.13"
  },
  "orig_nbformat": 4,
  "vscode": {
   "interpreter": {
    "hash": "6bdcd3dff61cfecb093f68bfbd67338d4a9739a04d65268bf3b66287b86a0a9e"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
